λ
Sigma Notebook

6,341,948

22 × 37 × 73 × 587
Deficient Even Composite

6,341,948 is even and not a perfect square. Its factorization is 2^2 × 37 × 73 × 587 and its 24 divisors sum to 11,574,192.

Prime Factor Structure

Factorization String 2^2 × 37 × 73 × 587
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,574,192
Proper Divisor Sum 5,232,244
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6341939 ← → #6341963

Radix Representation

Decimal 6341948
Binary 11000001100010100111100 (23 bits)
Octal 0o30142474
Hexadecimal 0x60C53C

Divisor Catalog (24)

1 2 4 37 73 74 146 148 292 587 1,174 2,348 2,701 5,402 10,804 21,719 42,851 43,438 85,702 86,876 171,404 1,585,487 3,170,974 6,341,948

Collatz Trajectory (152 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,341,948 3,170,974 1,585,487 4,756,462 2,378,231 7,134,694 3,567,347 10,702,042 5,351,021 16,053,064 8,026,532 4,013,266 2,006,633 6,019,900 3,009,950 1,504,975 4,514,926 2,257,463 6,772,390 3,386,195 10,158,586 5,079,293 15,237,880 7,618,940 3,809,470 1,904,735 5,714,206 2,857,103 8,571,310 4,285,655 12,856,966 6,428,483 19,285,450 9,642,725 28,928,176 14,464,088 7,232,044 3,616,022 1,808,011 5,424,034 2,712,017 8,136,052 4,068,026 2,034,013 6,102,040 3,051,020 1,525,510 762,755 2,288,266 1,144,133 3,432,400 1,716,200 858,100 429,050 214,525 643,576 321,788 160,894 80,447 241,342

More profiles

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